Write 2x + 3y + z + 5t = 8 as a matrix A (how many rows?) multiplying the column vector x = (x, y, z, t) to produce b. The solutions x fill a plane or "hyperplane" in 4-dimensional space. The plane is 3-dimensional with no 4D volume.

Solve for the 2 x 2 matrix X: 1 2 X + 23 5 3 X.

Please write all steps clearly, thank you.

The product of a 2 ´ 3 matrix and a 3 ´ 2 matrix is

Solve the question attach by giving steps and brief ex

Solve the equation using matrix  Find x y z

Solve for C1, C3, C4, C5, & C6 without using matrix. Show the solution. C1-C3=1035.180 11C5+C6=-27829.395 6C1-6C3+C4=3346.704 C3-C5=2025 9C3+C4-9C5-C6=12149.514

Find the matrix of the quadratic form. Assume x is in R³. a. 2x² + 3x²2 - 9x²3 - 10x₁x×2 + 18x₁×3 − 12×2×3 b. 2x1x2 + 12x₁X3 - 18x2x3 a. The matrix of the quadratic form 2x² + 3x2 -9x3 - 10x₁x2 + 18x₁ x3 - 12x₂x3 is (Simplify your answer.) Part 1 of 2

Let A be the 3×3 matrix of zeros. Describe all solutions to Ax​=0.

(Left nullspace) Add the extra column b and reduce A to echelon form: [1 2 3 [Ab] 4 5 6 bi 1 b₂ → 2 3 0-3 -6 7 8 9 b3 0 00 bi b2-4b₁ b3 - 2b2 + b₁ A combination of the rows of A has produced the zero row. What combination is it? (Look at b3 - 2b2+ b₁ on the right side.) Which vectors are in the nullspace of AT and which vectors are in the nullspace of A?